I need help with this problem and an explanation for the solution described below. (Linear Models) An electromotive force240, 0 ≤t≤ 50E(t)10,t > 50is applied to an LR-series circuit in which the inductance is 30 henries and the resistance is 3 ohms. Find the current i(t) if i(0) = 0.80 – 80e-()0 ≤ t≤ 50i(t) =t(80e4–80) e 220't> 50

Given:- L=30H- R=3Ω- E(t)={240,0,0≤t≤50t>50- Initial condition: i(0)=0. To solve for the…

Answered: An electromotive force 240, 0 ≤t≤ 50…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Problem 1RQ

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An electromotive force 240, 0 ≤t≤ 50 E(t) 10, t > 50 is applied to an LR-series circuit in which the inductance is 30 henries and the resistance is 3 ohms. Find the current i(t) if i(0) = 0. 80 – 80e -() 0 ≤ t≤ 50 i(t) = t (80e4–80) e 2 20 ' t> 50